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Journals / New Trends in Mathematical Sciences / 2017 / Cilt: 5 Sayı: 4

Differential transform method to solve two-dimensional Volterra integral equations with proportional delays

Şuayip Yüzbaşi And Nurbol İsmailov Yüzbaşi(AKDENIZ UNIVERSITY)
Nurbol Ismailov(AKDENIZ UNIVERSITY)
Pages
65–71
Publication Date
2017-10-01
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In illustrate examples the method applying to a few type equations.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, the differential transform method is extended by providing a new theorem to two-dimensional Volterra integral equations with proportional delays.
📊
Key Findings & Data:The method is useful for both linear and nonlinear equations.
💡
Conclusion & Impact:In illustrate examples the method applying to a few type equations.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Two-dimensional Volterra integral equations with proportional delays · partial differential equations · Two-dimensional Volterra integral equations with proportional delays

Abstract

In this paper, the differential transform method is extended by providing a new theorem to two-dimensional Volterra integral equations with proportional delays. The method is useful for both linear and nonlinear equations. If solutions of governing equations can be expanded for Taylor series, then the method gives opportunity determine coefficients Taylor series, i.e. the exact solutions are obtained in series form. In illustrate examples the method applying to a few type equations.

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Cite This Article

Yüzbaşi, Ş. Y. A. N. İ., Ismailov, N. (2017). Differential transform method to solve two-dimensional Volterra integral equations with proportional delays. New Trends in Mathematical Sciences, Cilt: 5 Sayı: 4, 65–71. https://ajindex.com/articles/1003670

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